Question

Triangle abc has angle measures as shown What is the value of x? Show your work.

What is the measure of angle Show your work.




(100 points for this question)

Answer 1

x=31

<c = 93

Explanation:

The sum of the angles of a triangle is 180 degrees

<a +<b + <c = 180

35+ 52+3(x+2) = 180

Combine like terms

87+3(x+2) = 180

Subtract 87 from each side

87-87 +3(x+2) = 180-87

3(x+2) =93

Divide each side by 3

3(x+2)/3 = 93/3

x+2 = 31

Subtract 2 from each side

x+2-2 = 31-2

x = 29

Substitute x into the expression for angle c

<c = 3(x+2)

=3(29+2)

= 3(31)

=93